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Popular >

simplify (16)^{-5/4}

Solution

simplify

(16)^{- \frac{5}{4}}

Solution

\frac{1}{32}

+1

Decimal Notation

0.03125

Solution steps

1 6^{- \frac{5}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{- \frac{5}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{4 (- \frac{5}{4})}

4 (- \frac{5}{4}) = - 5

= 2^{- 5}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

2^{- 5} = \frac{1}{2 ^{5}}

= \frac{1}{2 ^{5}}

2^{5} = 32

= \frac{1}{32}

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Frequently Asked Questions (FAQ)

What is (16)^{-5/4} ?
The solution to (16)^{-5/4} is 1/32